Offa is bordered on the south by the Gamo Zone, on the west by Kindo Didaye, on the north by Kindo Koysha, on the northeast by Sodo Zuria, on the north by Kawo Koysha and on the east by Humbo woredas.

Western part of Offa was added to Kindo Didaye woreda in 1998 E.C.

[1] Prior to the 2005 Ethiopian general elections, Amnesty International reports that a total of 38 Coalition for Unity and Democracy members were arrested in Offa between 11 and 17 February, and held for seven days on the accusation they held their campaign meeting without giving police 48 hours' notice.

Amnesty International included this incident as part of a series of government intimidation of opposition party activists.

The majority of the inhabitants were Protestants, with 85.55% of the population reporting that belief, 11.97% practiced Ethiopian Orthodox Christianity, and 1.1% were Catholic.